Pith Number

pith:PRW3M4XX

pith:2009:PRW3M4XXVLPF2T24OWJAFDHHZG

not attested not anchored not stored refs pending

On the Selberg integral of the $k-$divisor function and the $2k-$th moment of the Riemann zeta function

Giovanni Coppola

arxiv:0907.5561 v1 · 2009-07-31 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRW3M4XXVLPF2T24OWJAFDHHZG}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:31:21.155480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c6db672f7aade5d4f5c7592028ce7c99dfcfa8f9398237fb2c70b3e40c620df

Aliases

arxiv: 0907.5561 · arxiv_version: 0907.5561v1 · doi: 10.48550/arxiv.0907.5561 · pith_short_12: PRW3M4XXVLPF · pith_short_16: PRW3M4XXVLPF2T24 · pith_short_8: PRW3M4XX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PRW3M4XXVLPF2T24OWJAFDHHZG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7c6db672f7aade5d4f5c7592028ce7c99dfcfa8f9398237fb2c70b3e40c620df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "306bba8770f76ec76686a05969d0f4932c0e38dedb216730e9d8616000bee408",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-07-31T16:06:05Z",
    "title_canon_sha256": "d0c93a1528cfaef1a96204a2885fc455a4d8b3db0bb5e621970f2cb4a957d1b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5561",
    "kind": "arxiv",
    "version": 1
  }
}